Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)


I need this answered by today, please!!

Answers

Answer 1

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

Given

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Required

Express as [tex]ax + b[/tex]

We have:

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Open brackets

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]

Evaluate all multiplications

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]

Collect like terms

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]

Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]


Related Questions

Please please help with this no links

Answers

Answer:

B. corresponding angles are congruent

The equation y = 450x represents the number of miles alrplane traveled y ot x hours. The graph below shows the number miles a 5hour flight , after 2 hours which airplane had traveled the farther and by how much ? I need help

Answers

Answer:

y = 200x.....the airplane travels 8000 miles in 40 hrs

Step-by-step explanation:

Answer:

Airplane W by 100 miles

Step-by-step explanation:

Airplane Z

y = 450x

Distance travelled after 2 hours

y = 450(2)

y = 900 miles

------------------------

Airplane W

Distance travelled after 2 hours

Reading from the graph

1000 miles

----------------------

after 2 hours which airplane had traveled the farther

Airplane W

and by how much

1000 - 900 = 100

What is 27 divide by eight

Answers

Answer

      = 3. 3 75

Step-by-step explanation:

 27 / 3 = 3.375

Your answer is 3.375!
Hope this helps :)
Brainliest plzz

12 6x/3=5-9/2

i need help

Answers

The correct answer is 12

Answer:

x=1/4

Step-by-step explanation:

x=0.25

Can someone help me with this

Answers

E and F are common factors. 1 goes into 2 and 24 and 2 goes i to 2 and 24.

600 students were going on a field trip.
Lunches had to be prepared for them.
Altogether what was the TOTAL number of food and drink items used if each student received:
3 juices
2 pieces of fruit
2 burritos
2 bags of Doritos
1 milk

Answers

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800   (total juice)

2*600=1200   (total fruit)

2*600=1200   (total burritos)

2*600=1200   (total doritos)

1*600=600     (total milk)

1800+1200+1200+1200+600=6000

You make a bet on a horse race. There's a 10% chance of making $300 and a 5% chance of making $500. There's an 85% chance of losing $75. What's the expected value of this bet?

Answers

425 or 225 i think im not really sure

What is the measure of angle R?

Answers

A

180 - S = R
180 - 65 = 115
A I’m pretty sure, if s was 65 and it being an acute angle like that then the bigger space (r) would be more the 65. But not a huge amount like b.

Choose the missing prefix.
"One one-hundredth meter" means the same as
_____ meter. PLZZ GET IT RIGHT

Answers

Answer:

Centi :)

Step-by-step explanation:

Answer:

The person above me is correct.

Step-by-step explanation:

One one-hundredth meter is the same as 1 centimeter.

On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.

Answers

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

Answer: 2

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

Plug in values

z=\frac{50}{25}

z=

25

50

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

Find the circumference of the object. Use 3.14 or 22/7 for pi . Round to the nearest hundredth if necessary. 6in

Answers

Answer:

37.7

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

Which of the x-values are solutions to the following inequality?
x <100
Choose all answers that apply:

Answers

Answer:

x=54

x=89

Step-by-step explanation:

I think it is the answer

The product of -5/7 and -2/5 is​

Answers

Answer:

2/7

Step-by-step explanation:

Answer:

Asnwer:3/2 you divide and simplify you get 6/4 then you divide and there is your answer!! :)

Use the rectangle to answer the question.
12 millimeters
9 millimeters
What is the area of the rectangle?
O A 21 square millimeters
OB. 42 square millimeters
O c. 81 square millimeters
OD. 108 square millimeters
ОЕ.
144 square millimeters

Answers

Answer:

12 x 9 = 108

Step-by-step explanation:

Just multiply the 2 given lengths when finding AREA of a rectangle.

Answer:

D.108

Step-by-step explanation:

The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year and continue with product testing.


The company's employees inform the president that if he releases the laptop now and no competitive devices enter the market, there will be a profit of $120,409.00; however, if he releases the laptop now and a competitive device enters the market, there will only be a small profit of $29,698.00. The company's employees also inform the president that if he waits another year and no competitive device enters the market, there will be a profit of $84,742.00; however, if he waits another year and a competitive device enters the market, there will be a loss of $59,396.00.


Suppose the company determines that there is a 22% chance that a competitive device will enter the market. What should the president do to maximize the expected profit over the next year?

Answers

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

ls 2.1 bigger or 2.9?

Answers

Answer:

2.9

Step-by-step explanation:

The answer is 2.9

Step by step:

PLEASE HELP FAST! What is the distance between the two points located at (14, 27) and (14, −8)? this is in units.

Answers

Answer:

13

Step-by-step explanation:

13

Answer:

I think the answer is

Distance: 26 (if rounded up).

Step-by-step explanation:

d=(27−14)2+(−8−14)2−−−−−−−−−−−−−−−−−−−√

d=(13)2+(−22)2−−−−−−−−−−−−√

d=169+484−−−−−−−−√

d=6–√53

d=25.553865

Can someone plz help me on this I’m bad at doing these plz I bed u I beg u plz

Answers

Answer:

I'm sorry me dont know kfnkdks

Answer:

A

Step-by-step explanation:

Area of the rectangle

A = base x width = 8 x 6 = 48 cm^2

Area of the triangle

A = (base x height)/2 = (6 x 4)/2 = 12 cm^2

two semicircles are equal to a circle

radius = diameter / 2 = 3/2 = 1.5 cm

A = radius^2 x pi = 1.5^2 x pi = 7 cm^2  (round to the nearest whole number)

total area

48 + 12 + 7 = 67 cm^2

What is the lenghth of a baseball cap 30 kilometers or 30 meters or 30 millimeters or 30 centimeters

Answers

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

how many millimeters equal 1942 cm^3

Answers

Answer:

multiply the volume value by 1000

Step-by-step explanation:

¯\_(ツ)_/¯ᵐᵃʸᵇᵉe

Answer:

1942 cubic centimeter

1942000 cubic millimeter

WILL GIVE BRAINLY IF CORRECT!!! The box plot below represents some data set. What is the range of the data?

Answers

Answer:

75

Step-by-step explanation:

95-25 becasue range is the biggest-smalest=75

What is the value of x in the figure below?

Answers

Answer:

x = 125°

Step-by-step explanation:

180° - 55° = 125°

125°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Enter the value of p so that the expression 4(n + 8) is equivalent to (n + p)4.m

Answers

Answer:

8 is the value of p

Answer:

n=0 p=8

Step-by-step explanation:

PLEASE NO WRONG ANSWER
What are the coordinates of the midpoint of diagonal LN?​

Answers

Answer:

4. (-2 1/2, 4 1/2)

Step-by-step explanation:

Midpoint Formula is (x1+x2)/2, (y1+y2)/2

So (-6+1)/2 , (1+8)/2 = (5)/2, (9)/2 = (2.5,4.5)

And that in fraction form is (-2 1/2, 4 1/2)

What is 1+1 equal? Oh my I am so rich in points I can just spend my way to having someone answer it for me!

Answers

Answer:

x=2

Step-by-step explanation:

1 is = 100%, or 10/10, 1/1, and 1.00

if we have a double of 1, we would double, now 1 and 1=200% 20/10, 2/1, 2.00

turning these franction into whole numbers we will now have

[tex]2\frac{0}{10}[/tex][tex]2\frac{0}{1}[/tex]

so now we have our answer, which is 2

now lets learn 1+1 as pi-

At 11:00 AM. the temperature was 37 °F. At 11:00 PM the temperature was -6 °F.
What was the change in temperature between 11:00 AM and 11:00 PM?

Answers

The temperature changed by 43 degrees
The change in temperature between 11:00 AM and 11:00 PM was 44 degrees.

The Martins want to buy a new computer. The regular price is $849. The store is offering a 20% discount. What
is the total cost of the computer?

Answers

Answer:

679.20

Step-by-step explanation:

i used math plz mark branliest

The answer is 679.20

Math question:
I'm not good at math so pls help me

Answers

Answer:

c

Step-by-step explanation:

Answer: D: 1/14

Step-by-step explanation:

1/7 chance of picking orange marble, times 1/2 chance of flipping tails.

1/7 X 1/2 = 1/14

20 points!!! Find the volume of these figures

Answers

Answer:

Its only 10 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

9)

it's a right triangle, you should know how to find the area for this one :/   I'll give you the formula ,  you can push the buttons on a calculator ?  right? Okay to be fair, I see that there is one extra step, so i'll do that part for you.  

Ф=arcSin(8.5/15.7)

Ф = 32.77908067°

15.7*Cos(32.77908067°) = base

13.2 =base

⇒ use this formula ⇒ (1/2)*base*height*depth

just in case  base = 13.2

height = 8.5

depth = 6.2

you got it ?  right?

10)

we have to solve for the "adjacent side"  of the triangle, which will also be the diameter of the cylinder  , so

sin(Ф) = 9.5/19.3

Ф= arcSin(9.5/19.3)

Ф= 29.48712567°

19.3*cos(29.48712567°) = Adjacent

16.8 =Adjacent ( diameter of circle)

16.8/2 = radius

8.4 = radius

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of circle = 221.6707776 [tex]m^{2}[/tex]

volume of a cylinder = area of circle * height

volume of a cylinder = 221.6707776 * 9.5

volume of a cylinder = 2105.872388 [tex]m^{3}[/tex]

11)

we need the formula for an equilateral triangle area

Equilateral Triangle Area = [tex]\sqrt{3}[/tex]/4)* [tex]a^{2}[/tex]

ETA = ([tex]\sqrt{3}[/tex]/4)*[tex]12^{2}[/tex]

ETA = 62.35382907 [tex]mm^{2}[/tex]

Volume Of Prism = length * area

VOP = 17 * 62.35382907

VOP = 1060.015094 [tex]mm^{3}[/tex]

PLEASE HELP!!! I WILL GIVE BRAINLIEST (NO LINKSSSS OR ELSE I WILL HUNT YOU DOWN)

Answers

It is the last one t<10
Plot the closed endpoint at 10 and it would go from 10 to anything less than that.
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